Abstract: When creating other tool path from two tool paths for cutting a work accurately and efficiently, the data on the first tool path is composed of a position vector and a direction vector of a tool for use when the work is cut while moving the tool. The data on the second tool path is composed of a position vector and a direction vector of the tool for use when the work, which has been cut according to the first tool path, is further cut. A computer uses the first tool path data and second tool path data to calculate a position vector and a direction vector of a medium tool path that is between the first tool path and second tool path.

Abstract: A numerically controlled curved-surface machining unit equipped with three linearly moving axes and, at least, one rotary axis, including a simultaneous multiple-axis control NC machine numerically controlled by a numerical control unit with a numerical control NURBS interpolation function. The unit enables reading, as CL (cutter location) data, tool control point vector data and tool axis vector data, along a machining direction on a workpiece coordinate system for a curved surface, obtaining feed rates therefor, and calculation by conversion of the CL data into position vectors of three linear axes on a machine coordinate system, rotation angles and feed rates on the machine coordinate system so as to operate the simultaneous multiple-axis control NC machine on the basis of a machine configuration of the simultaneous multiple-axis control NC machine.

Abstract: A numerically controlled curved-surface machining unit comprises a component converting matrix·angle-addition value forming function of converting CL (cutter location) data into components on a normal coordinate system on the basis of the machine configuration of the simultaneous multiple-axis control NC machine, a component converting function of converting from the workpiece coordinate system to the normal coordinate system, a function of forming second angles of a second rotary axis on the normal coordinate system, a compensating function of forming a continuous angle distribution from a distribution of the second angles, a function of forming first angles of a first rotary axis on a coordinate system rotated by the second angles at the second rotary axis, a compensating function of forming a continuous angle distribution from a distribution of the first angles, a machine coordinate transformation matrix forming function of obtaining a matrix for converting the tool control point vectors on the workpiece c

Abstract: When creating other tool path from two tool paths for cutting a work accurately and efficiently, the data on the first tool path is composed of a position vector and a direction vector of a tool for use when the work is cut while moving the tool. The data on the second tool path is composed of a position vector and a direction vector of the tool for use when the work, which has been cut according to the first tool path, is further cut. A computer uses the first tool path data and second tool path data to calculate a position vector and a direction vector of a medium tool path that is between the first tool path and second tool path.

Abstract: A numerically controlled curved-surface machining unit comprises a component converting matrix•angle-addition value forming function of converting CL (cutter location) data into components on a normal coordinate system on the basis of the machine configuration of the simultaneous multiple-axis control NC machine, a component converting function of converting from the workpiece coordinate system to the normal coordinate system, a function of forming second angles of a second rotary axis on the normal coordinate system, a compensating function of forming a continuous angle distribution from a distribution of the second angles, a function of forming first angles of a first rotary axis on a coordinate system rotated by the second angles at the second rotary axis, a compensating function of forming a continuous angle distribution from a distribution of the first angles, a machine coordinate transformation matrix forming function of obtaining a matrix for converting the tool control point vectors on the workpiece c

Abstract: A numerically controlled curved-surface machining unit comprises a component converting matrix·angle-addition value forming function of converting CL (cutter location) data into components on a normal coordinate system on the basis of the machine configuration of the simultaneous multiple-axis control NC machine, a component converting function of converting from the workpiece coordinate system to the normal coordinate system, a function of forming second angles of a second rotary axis on the normal coordinate system, a compensating function of forming a continuous angle distribution from a distribution of the second angles, a function of forming first angles of a first rotary axis on a coordinate system rotated by the second angles at the second rotary axis, a compensating function of forming a continuous angle distribution from a distribution of the first angles, a machine coordinate transformation matrix forming function of obtaining a matrix for converting the tool control point vectors on the work

Abstract: Performing NURBS (non-uniform rational B-spline) interpolation machining is performed by reading cutter location (CL) data consisting of a tool control point vector and a tool axis vector on a workpiece coordinate system, converting the CL data into a position vector of three linear axes and a rotation angle on a machine coordinate system in accordance with the machine configuration of a simultaneous multiple-axis NC machine, calculating knot vectors of a NURBS curve with the most suitable chord length on the basis of a position vector of the three linear axes and a rotation angle, calculating a NURBS curve of the three linear axes and one rotary axis using the knot vectors, converting the NURBS curve into NURBS interpolation NC data, converting the feed rate on a workpiece coordinate system into the feed rate per minute on a machine coordinate system, and transmitting NC data to a NC machine.

Abstract: Performing NURBS (non-uniform rational B-spline) interpolation machining is performed by reading cutter location (CL) data consisting of a tool control point vector and a tool axis vector on a workpiece coordinate system, converting the CL data into a position vector of three linear axes and a rotation angle on a machine coordinate system in accordance with the machine configuration of a simultaneous multiple-axis NC machine, calculating knot vectors of a NURBS curve with the most suitable chord length on the basis of a position vector of the three linear axes and a rotation angle, calculating a NURBS curve of the three linear axes and one rotary axis using the knot vectors, converting the NURBS curve into NURBS interpolation NC data, converting the feed rate on a workpiece coordinate system into the feed rate per minute on a machine coordinate system, and transmitting NC data to a NC machine.

Abstract: Performing NURBS (non-uniform rational B-spline) interpolation machining is performed by reading cutter location (CL) data consisting of a tool control point vector and a tool axis vector on a workpiece coordinate system, converting the CL data into a position vector of three linear axes and a rotation angle on a machine coordinate system in accordance with the machine configuration of a simultaneous multiple-axis NC machine, calculating knot vectors of a NURBS curve with the most suitable chord length on the basis of a position vector of the three linear axes and a rotation angle, calculating a NURBS curve of the three linear axes and one rotary axis using the knot vectors, converting the NURBS curve into NURBS interpolation NC data, converting the feed rate on a workpiece coordinate system into the feed rate per minute on a machine coordinate system, and transmitting NC data to a NC machine.

Abstract: When creating other tool path from two tool paths for cutting a work accurately and efficiently, the data on the first tool path is composed of a position vector and a direction vector of a tool for use when the work is cut while moving the tool. The data on the second tool path is composed of a position vector and a direction vector of the tool for use when the work, which has been cut according to the first tool path, is further cut. A computer uses the first tool path data and second tool path data to calculate a position vector and a direction vector of a medium tool path that is between the first tool path and second tool path.

Abstract: To provide a numerically controlled curved surface machining unit, and a method or program thereof, which, by moving a tool smoothly along a NURBS (non-uniform rational B-spline) curve, enables not only to improve the machining surface roughness and machining surface accuracy but to achieve high-speed machining so as to be able to eliminate hand finishing and reduce machining steps drastically.